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Finding the Third Proportional to 71,282 and 154,708

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Solution

The third proportional to 71,282 and 154,708 is: 335,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,282 : 154,708 = 154,708 : x
  2. Step 2: Convert to fraction form
    71,282/154,708 = 154,708/x
  3. Step 3: Cross multiply
    71,282x = 154,708 × 154,708
  4. Step 4: Simplify right side
    71,282x = 23,934,565,264
  5. Step 5: Solve for x
    x = 23,934,565,264/71,282
  6. Step 6: Final answer
    x = 335,772.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.